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53280104832 = 273441125339
BaseRepresentation
bin110001100111101111…
…011110000110000000
312002112011220202120000
4301213233132012000
51333104201323312
640250533320000
73564221263413
oct614757360600
9162464822500
1053280104832
1120661259399
12a3ab496000
1350414a7566
14281620bb7a
1515bc817adc
hexc67bde180

53280104832 has 160 divisors (see below), whose sum is σ = 162429359400. Its totient is φ = 17326725120.

The previous prime is 53280104827. The next prime is 53280104833. The reversal of 53280104832 is 23840108235.

53280104832 is a `hidden beast` number, since 532 + 80 + 1 + 0 + 48 + 3 + 2 = 666.

53280104832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53280104833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 362419 + ... + 487757.

Almost surely, 253280104832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53280104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81214679700).

53280104832 is an abundant number, since it is smaller than the sum of its proper divisors (109149254568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53280104832 is a wasteful number, since it uses less digits than its factorization.

53280104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125406 (or 125385 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 53280104832 in words is "fifty-three billion, two hundred eighty million, one hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 369 384 432 492 576 648 656 738 864 984 1107 1152 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3456 3936 4428 5184 5248 5904 6642 7872 8856 10368 11808 13284 15744 17712 23616 26568 35424 47232 53136 70848 106272 125339 141696 212544 250678 376017 425088 501356 752034 1002712 1128051 1504068 2005424 2256102 3008136 3384153 4010848 4512204 5138899 6016272 6768306 8021696 9024408 10152459 10277798 12032544 13536612 15416697 16043392 18048816 20304918 20555596 24065088 27073224 30833394 36097632 40609836 41111192 46250091 48130176 54146448 61666788 72195264 81219672 82222384 92500182 108292896 123333576 138750273 144390528 162439344 164444768 185000364 216585792 246667152 277500546 324878688 328889536 370000728 416250819 433171584 493334304 555001092 649757376 657779072 740001456 832501638 986668608 1110002184 1299514752 1480002912 1665003276 1973337216 2220004368 2960005824 3330006552 4440008736 5920011648 6660013104 8880017472 13320026208 17760034944 26640052416 53280104832